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A survey on classical minimal surface theory

Author: William Meeks; Joaquín Pérez
Publisher: Providence, Rhode Island : American Mathematical Society, [2012]
Series: University lecture series (Providence, R.I.), 60.
Edition/Format:   Print book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: William Meeks; Joaquín Pérez
ISBN: 9780821869123 0821869124
OCLC Number: 808627858
Description: x, 182 pages : illustrations (chiefly color) ; 26 cm.
Contents: 1. Introduction --
2. Basic results in classical minimal surface theory --
3. Minimal surfaces with finite topology and more than one end --
4. Limits of embedded minimal surfaces without local area or curvature bounds --
5. The structure of minimal laminations of R³ --
6. The Ordering Theorem for the space of ends --
7. Conformal structure of minimal surfaces --
8. Uniqueness of the Helicoid I: Proper case --
9. Embedded minimal annular ends with infinite total curvature --
10. The embedded Calabi-Yau problem --
11. Local pictures, local removable singularities and dynamics --
12. Embedded minimal surfaces of finite genus --
13. Topological aspects of minimal surfaces --
14. Partial results on the Liouville Conjecture --
15. The Scherk Uniqueness Theorem --
16. Calabi-Yau problems --
17. Outstanding problems and conjectures.
Series Title: University lecture series (Providence, R.I.), 60.
Responsibility: William H. Meeks III, Joaquín Pérez.

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